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McGraw Hill Integrated II, 2012

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McGraw Hill Integrated II, 2012 View details

Study Guide and Review

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Exercise 29 Page 265

Substitute the value of the diameter into the given formula.

≈ 2.2h

Practice makes perfect

We can estimate how long a thunderstorm will last — given the storm's diameter — by using the given formula. t = sqrt(d^3/216) In this formula, t is the time in hours and d is the diameter of the storm in miles. We are told that a storm is 10 miles in diameter. Let's substitute d = 10 into the formula to find out how long the storm will last.

t = sqrt(d^3/216)

d= 10

t = sqrt(10^3/216)

▼

Simplify right-hand side

Calculate power

t = sqrt(1000/216)

Use a calculator

t = 2.151657...

Round to 1 decimal place(s)

t ≈ 2.2

Therefore, the storm will last about 2.2hours.

Subchapter links

1 Graphing Exponential Functions p.265

2 Solving Exponential Equations and Inequalities p.265

3 Simplifying Radical Expressions p.265

4 Operations with Radical Expressions p.266

5 Radical Equations p.266